Order and uo-convergence in spaces of continuous functions
نویسندگان
چکیده
We present several characterizations of uo-convergent nets or sequences in spaces continuous functions C(Ω), Cb(Ω), C0(Ω), and C∞(Ω), extending results [11]. In particular, it is shown that a sequence uo-converges iff converges pointwise on co-meagre set. also characterize order bounded sets functions. This leads to convergence.
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 2022
ISSN: ['1879-3207', '0166-8641']
DOI: https://doi.org/10.1016/j.topol.2022.107999